摘要
借助不动点定理研究边值问题(φp(u△(t)))▽+f(t,u(t))=0,t∈(0,∞)Tu(0)=∑m-2i=1αiu(ηi),φp(u△(∞))=∑m-2i=1βiφp(u△(ηi))多个正解的存在性,得到了正解存在的充分条件.
We Consider the following m --point boundary value problem time scales . （Фp（u△（t）））▽＋f（t,u（t））=0,t∈（0,∞）T u（0）=m-2∑i=1 αiu（ηi）,Фp（u△（∞））=^m-2∑i=1βiФp（u△（ηi））where Фp（u△（∞））=lim t∈T,t→∞ Фp（u△（t））Some new sufficient conditions for the existence of atleast onepositive solution to the above problem are presented. Theinteresting point is that the positive solution of the above problemis unbounded.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第12期199-204,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10671012)
关键词
边值问题
不动点定理
时标
无穷区间
boundary value problem
fixed point theorem
time scale
infinite interval
